<p>100 Great Problems
of Elementary Mathematics
THEIR HISTORY AND SOLUTION
BY HEINRICH DORRIE
TRANSLATED BY DAVID ANTIN
DOVER PUBLICATIONS, INC.
Copyright © 1965 by Dover Publications. Inc.:
originally published in German under the title of
Triumph der Mathematik, © 1958 by Physica-
All rights reserved under Pan American and
International Copyright Conventions.
Published in Canada by General Publishing Com-
pany. Ltd., 30 Lesmill Road. Don Mills. Toronto,
Published in the United Kingdom by Constable
and Company, Ltd .• 10 Orange Street, London WC 2.
This Dover edition. first published in 1965. is a
new translation of the unabridged text of the fifth
edition of the work published by the Physica-Yer-
lag. Wiirzburg, Germany. in 1958 under the title
Triumph der Mathematik: Hundert beruhmte
Probleme aw %wei Jahrtawenden mathematischer
This authorized translation
is published by
special arrangement with the German-language
publishers. Physica-Yerlag. Wiirzburg.
Standard Book Number: 486-61348-8
Library of Congress Catalog Card Number:65-140JO
Manufactured in the United States of America
Dover Publications, Inc.
180 Yarick Street
New York. N.Y. 10014
A book collecting the celebrated problems of elementary
mathematics that would commemorate their origin and, above all,
present their solutions briefly, clearly, and comprehensibly has long
seemed a necessary and attractive task to the author.
The restriction to problems of elementary mathematics was con-
sidered advisable in view of those readers who have neither the time
nor the opportunity to acquaint themselves in any detail with higher
mathematics. Nevertheless, in spite of this limitation a colorful and
compelling picture has emerged, one that gives an idea of the amazing
variety of mathematical methods and one that will-I hope-enchant
many who are interested in mathematics and who take pleasure in
characteristic mathematical thought processes. In the present work